Hemstitching is a very elegant addition to many types of linens, from bedding to tablecloths. Sferra explains the technique:

A hemstitch is a decorative drawn threadwork technique. A section of parallel threads are removed from the fabric and the remaining perpendicular threads are grouped together with additional thread to make small ornate holes. Despite its name, a hemstitch is not limited to the edges or hems of fabric — it can be used as an ornamental stitch anywhere on the fabric.

Sferra’s Festival Table Linens are a great example of hemstitching:

The Bennett Tablecloth actually has 17 rows of hemstitching: